What is equi triangular?
What is equi triangular?
A triangle whose all three sides and interior angles are equal is called an equiangular triangle. For a triangle to be equiangular, the measure of all its three interior angles must be equal to 60 degrees. An equiangular triangle has three equal sides, and it is similar to an equilateral triangle.
What is an equilateral triangle called?
An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a “regular” triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.
What are the properties of the equilateral triangle?
Properties of an Equilateral Triangle
- Three sides are equal.
- Three angles are equal i.e 60° each.
- A regular polygon having three equal sides.
- Median, angle bisector and altitude are all equal in an equilateral triangle.
- The dividing perpendicular from the angle of the vertex is parted into two equal halves i.e. 30°.
What is a formula of equilateral triangle?
An equilateral triangle is the one in which all three sides are equal. It is a special case of the isosceles triangle where the third side is also equal. In an equilateral triangle ABC, AB = BC = CA.
What is the 4 types of triangles?
There are a number of different types of triangles, such as equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.
What are the 3 properties of triangle?
Properties of a triangle
- A triangle has three sides, three angles, and three vertices.
- The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
- The sum of the length of any two sides of a triangle is greater than the length of the third side.
What is the formula of Circumradius of a triangle?
The formula for the circumradius of a triangle with sides of lengths a, b, and c is (abc) / sqrt((a + b + c)(b + c – a)(c + a – b)(a + b – c)), and for a regular polygon with n sides of length s, it is s / (2sin(π / n)).
What is a formula of triangle?
A triangle is a polygon with three sides. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
What is the formula of equal triangle?
An equilateral triangle has three congruent sides and results in three congruent angles. This figure results in two special right triangles back to back: 30° – 60° – 90° giving sides of x – x √3 – 2x in general. The height of the triangle is the x √3 side. So Atriangle = 1/2 bh = 1/2 * 12 * 6√3 = 36√3 cm2.
Does equilateral triangle have two equal sides?
Any equilateral triangle (it has all 3 equal sides) is isosceles (that requires only 2 equal sides), but not all isosceles triangles (it has 2 equal sides) are equilateral (that requires all 3 equal sides). See all questions in Angles with Triangles and Polygons.
Could a triangle ever be an equilateral triangle?
A triangle is equilateral if and only if any three of the smaller triangles have either the same perimeter or the same inradius . A triangle is equilateral if and only if the circumcenters of any three of the smaller triangles have the same distance from the centroid.
What is equiangular triangle?
An equiangular triangle is a triangle where all three interior angles are equal in measure. The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle. See Equilateral Triangles.
Are equiangular triangles similar triangles?
Similar Triangles. If the angles of one triangle are equal to the angles of another triangle , then the triangles are said to be equiangular . Equiangular triangles have the same shape but may have different sizes. So, equiangular triangles are also called similar triangles. For example, triangle DEF is similar to triangle ABC as their three angles are equal.
What is equi triangular? A triangle whose all three sides and interior angles are equal is called an equiangular triangle. For a triangle to be equiangular, the measure of all its three interior angles must be equal to 60 degrees. An equiangular triangle has three equal sides, and it is similar to an equilateral triangle.…